Cremona's table of elliptic curves

20400 = 2⁴ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17-	Signs for the Atkin-Lehner involutions
Class	20400cc	Isogeny class
Conductor	20400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-260100000000 = -1 · 28 · 32 · 58 · 172	Discriminant
Eigenvalues	2- 3+ 5+  0  6 -2 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,492,24012]	[a1,a2,a3,a4,a6]
Generators	[-3:150:1]	Generators of the group modulo torsion
j	3286064/65025	j-invariant
L	4.8796798860524	L(r)(E,1)/r!
Ω	0.73383327700167	Real period
R	1.6623939111858	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5100l2 81600io2 61200en2 4080bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20400cc2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	0	6	-2	-	8	-4	6	-10	6	-10	-2	-6	10	0	2	-10	-14	6	-10	-14	-10	-14

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Quadratic twists for elliptic curve 20400cc2

-4	8	-3	5
5100l2	81600io2	61200en2	4080bc2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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